This paper proposes a formal model of learning games for teachers in higher education by involving them strongly in the design process. The evolution of the teaching profession was followed by the emergence of tools with interesting potential such as, in the field of TEL and in a non-exhaustive way: serious games, MOOC, ubiquitous TEL, and so on. But there is a lack of tools to facilitate their design and use by teachers, especially for learning games. Based on the researches around learning games models, we will specify the characteristics we use to define the DISC model. This model is composed of elements easily adaptable to artifacts facilitating the work of authors. It was tested for the creation of a learning game with a teacher who is teaching fluid mechanics.